ON STABILITY OF SOLUTIONS TO CERTAIN DIFFERENTIAL EQUATIONS WITH DISCONTINUOUS RIGHT-HAND SIDES

被引：0

作者：

Bezyaev, V. I. ^{[1
]}

机构：

[1] RUDN Univ, Peoples Friendship Univ Russia, Dept Appl Math, 6 Miklukho Maklay St, Moscow 117198, Russia

来源：

EURASIAN MATHEMATICAL JOURNAL | 2016年 / 7卷 / 04期

关键词：

stability and instability of solutions; differential equations and systems with discontinuous right-hand sides; normal matrices;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a class of nonlinear nonautonomous systems of differential equations with discontinuous right-hand sides effective conditions for stability and instability of their solutions are given.

引用

页码：79 / 84

页数：6

共 50 条

[1] DIFFERENTIAL-EQUATIONS WITH DISCONTINUOUS RIGHT-HAND SIDES
HU, SC
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1991, 154 (02) : 377 - 390
[2] Existence theorems for solutions of stochastic differential equations with discontinuous right-hand sides
A. A. Levakov
[J]. Differential Equations, 2000, 36 : 56 - 63
[3] Existence theorems for solutions of stochastic differential equations with discontinuous right-hand sides
Levakov, AA
[J]. DIFFERENTIAL EQUATIONS, 2000, 36 (01) : 56 - 63
[4] ORDINARY DIFFERENTIAL-EQUATIONS WITH DISCONTINUOUS RIGHT-HAND SIDES
FILIPPOV, VV
[J]. DIFFERENTIAL EQUATIONS, 1994, 30 (08) : 1201 - 1207
[5] ON THE EXISTENCE AND PROPERTIES OF SOLUTIONS ORDINARY DIFFERENTIAL-EQUATIONS WITH DISCONTINUOUS RIGHT-HAND SIDES
FILIPPOV, VV
[J]. DOKLADY AKADEMII NAUK, 1995, 343 (02) : 160 - 162
[6] STABILITY OF SOLUTIONS TO DIFFERENTIAL AND DIFFERENCE-EQUATIONS WITH NONDIFFERENTIABLE RIGHT-HAND SIDES
BOIKOV, IV
[J]. DIFFERENTIAL EQUATIONS, 1993, 29 (08) : 1259 - 1261
[7] THE DETERMINATION OF STABILITY BY MEANS OF A LINEAR APPROXIMATION OF PERIODIC SOLUTIONS OF SIMULTANEOUS DIFFERENTIAL EQUATIONS WITH DISCONTINUOUS RIGHT-HAND SIDES
AISERMAN, MA
GANTMACHER, FR
[J]. DOKLADY AKADEMII NAUK SSSR, 1957, 116 (04): : 527 - 530
[8] Stability of Solutions to Systems of Nonlinear Differential Equations with Discontinuous Right-Hand Sides: Applications to Hopfield Artificial Neural Networks
Boykov, Ilya
Roudnev, Vladimir
Boykova, Alla
[J]. MATHEMATICS, 2022, 10 (09)
[9] A FILIPPOV SOLUTION OF A SYSTEM OF DIFFERENTIAL-EQUATIONS WITH DISCONTINUOUS RIGHT-HAND SIDES
ITO, T
[J]. ECONOMICS LETTERS, 1979, 4 (04) : 349 - 354
[10] DISCONTINUOUS LIAPUNOV-FUNCTIONS FOR DIFFERENTIAL EQUATIONS WITH MEASURABLE RIGHT-HAND SIDES
KRBEC, P
[J]. CZECHOSLOVAK MATHEMATICAL JOURNAL, 1976, 26 (02) : 312 - 318

← 1 2 3 4 5 →